IB Math HL Trigonometry Test 2 2013 P1 Q1

IB Math HL Trigonometry Test 2 2013 P1 Q1

IB Year 6 | Grade 12
5 marks

In the diagram, \(AD\perp BC\), \(CD=4\), \(BD=2\), \(AD=3\), \(\angle CAD=\alpha\), and \(\angle BAD=\beta\).

Find the exact value of \(\sin(\alpha+\beta)\).[5]

Solution:

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Answer:\(\frac{18\sqrt{13}}{65}\).

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